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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.

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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 4 — Answers

Multiply every term inside the parentheses. Then collect like terms.

1.Expand: −4(2x − 5)

Answer: −8x + 20

  1. −4 × 2x = −8x
  2. −4 × −5 = 20
2.Expand: 2(x + 5)

Answer: 2x + 10

  1. 2 × x = 2x
  2. 2 × 5 = 10
3.Expand: 1(6x − 4)

Answer: 6x − 4

  1. 1 × 6x = 6x
  2. 1 × −4 = −4
4.Expand: −5(3x − 4)

Answer: −15x + 20

  1. −5 × 3x = −15x
  2. −5 × −4 = 20
5.Expand: −4(5x − 1)

Answer: −20x + 4

  1. −4 × 5x = −20x
  2. −4 × −1 = 4
6.Expand: 6(4x + 3)

Answer: 24x + 18

  1. 6 × 4x = 24x
  2. 6 × 3 = 18
7.Expand: 5(x + 6)

Answer: 5x + 30

  1. 5 × x = 5x
  2. 5 × 6 = 30
8.Expand: 4(4x + 6)

Answer: 16x + 24

  1. 4 × 4x = 16x
  2. 4 × 6 = 24
9.Expand: 4(6x − 3)

Answer: 24x − 12

  1. 4 × 6x = 24x
  2. 4 × −3 = −12
10.Expand: 3(6x + 5)

Answer: 18x + 15

  1. 3 × 6x = 18x
  2. 3 × 5 = 15
11.Expand: −3(x + 4)

Answer: −3x − 12

  1. −3 × x = −3x
  2. −3 × 4 = −12
12.Expand: 5(5x + 7)

Answer: 25x + 35

  1. 5 × 5x = 25x
  2. 5 × 7 = 35
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